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Simplifying 6a + -3a = -4(-5 + -3) + 8(-2a + -2) Combine like terms: 6a + -3a = 3a 3a = -4(-5 + -3) + 8(-2a + -2) Combine like terms: -5 + -3 = -8 3a = -4(-8) + 8(-2a + -2) Multiply -4 * -8 3a = 32 + 8(-2a + -2) Reorder the terms: 3a = 32 + 8(-2 + -2a) 3a = 32 + (-2 * 8 + -2a * 8) 3a = 32 + (-16 + -16a) Combine like terms: 32 + -16 = 16 3a = 16 + -16a Solving 3a = 16 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. 3a + 16a = 16 + -16a + 16a Combine like terms: 3a + 16a = 19a 19a = 16 + -16a + 16a Combine like terms: -16a + 16a = 0 19a = 16 + 0 19a = 16 Divide each side by '19'. a = 0.8421052632 Simplifying a = 0.8421052632
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